Building Absolute Value Functions

Building Absolute Value Functions

By Melanie Harding

Multiple Choice

The absolute value of a number ≥ 0

• Is always less than the original number

• Is always the same as the original number

• Is always the opposite of the original number

Multiple Choice

The absolute value of a number < 0

• Is always less than the original number

• Is always the same as the original number

• Is always the opposite of the original number

Parent Functions

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Functions	​Parent Function	​Form
​Linear	​f(x) = x	​f(x) = mx + b
​Exponential	f(x) = bx	f(x) = a(b)xy = ab(x - h
​Quadratic	​f(x) = x2	​f(x) = ax2 + bx + c
​Absolute Value	​f(x) = |x|	f(x) = |x - h| + kb(x - h) +

Multiple Choice

The Parent Function for the Absolute Value Function

• f(x) = |x|

• f(x) = $$x^2$$  

• f(x) = x

• f(x) = $$b^x$$  

Multiple Choice

The Parent Function for the Linear Function

• f(x) = |x|

• f(x) = $$x^2$$  

• f(x) = x

• f(x) = $$b^x$$  

Domain and Range of a Function

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The range of a function is the set of all possible output values (y)​ for the function.​ Includes all of the numbers on the vertical number line.

Range

The domain of a function is the set of all possible input values (x)​ for the function. Includes all the numbers on the horizontal number line

Domain

Multiple Choice

The domain of the function f(x)=x​ is the set of all real numbers.

The domain of the function f(x)=|x|​ is

• The set of real numbers > 0

• The set of real numbers ≥ 0

• The set of real numbers ≤ 0

• The set of ALL real numbers

Multiple Choice

The range of the function f(x)=x​ is the set of all real numbers.

The domain of the function f(x)=|x|​ is

• The set of real numbers > 0

• The set of real numbers ≥ 0

• The set of real numbers ≤ 0

• The set of ALL real numbers

Multiple Choice

For all values of x​, f(x)=|x|​ ________ f(x)=|−x|​

• = (Equals)

• ≠ (Does not equal)